Simplifying the design of complex electromagnetic structures using Green´s functions based on asymptotic boundary conditions

Analysis of electromagnetic components that contain periodic structures is a difficult and time-consuming task. The first design of such components can be made in a short period of time using the Green´s function for canonical structures where the periodic structure is taken into account in the asymptotic sense. In this way it is possible to determine the basic structure parameters of the designed electromagnetic component, and therefore significantly shorten the time needed to obtain the final design (which is done using a general electromagnetic solver). Furthermore, with the help of the simplified analysis it is possible to calculate the electromagnetic parameters of interest (e.g., radiation pattern, mutual coupling level, etc.). This paper will present several models of periodic structures that accurately describe the observed structure, i.e. in which all the relevant mechanisms linked to the guiding and interaction of electromagnetic waves are considered. By comparing the results obtained using general electromagnetic solver and using the presented method we have demonstrated the accuracy and benefits of the proposed method in the design of electromagnetic components that contain periodic structures.